198009826560 has 1440 divisors, whose sum is σ = 901478172672. Its totient is φ = 40370503680.

The previous prime is 198009826559. The next prime is 198009826571. The reversal of 198009826560 is 65628900891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×198009826560³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 198009826497 and 198009826506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 292480942 + ... + 292481618.

Almost surely, 2^198009826560 is an apocalyptic number.

198009826560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198009826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450739086336).

198009826560 is an abundant number, since it is smaller than the sum of its proper divisors (703468346112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198009826560 is a wasteful number, since it uses less digits than its factorization.

198009826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198009826560 in words is "one hundred ninety-eight billion, nine million, eight hundred twenty-six thousand, five hundred sixty".